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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 716 · 40 questions
TalentJR

The method (Let it be x): Let x be the thing asked for. Write the other amounts using x. Turn the story into one equation. Open brackets, collect x on one side and numbers on the other, then divide. Check: put x back into the story.

NameDateTime takenScore ___ / 40
  1. 1.Pooja has 14 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
  2. 2.Nisha has 21 coins, all ₹5 and ₹2 coins, worth ₹84 in all. How many ₹5 coins are there?
  3. 3.7 × ? + 13 = 27
  4. 4.The length of a rectangle is 5 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  5. 5.A pen costs ₹7 more than a pencil. 3 pens and 2 pencils cost ₹41 in all. What does one pencil cost (in ₹)?
  6. 6.I think of a number, multiply it by 8 and then add 15. The answer is 151. What is my number?
  7. 7.Solve for x: 5(x + 8) = 3x + 70. What is x?
  8. 8.4 × ? + 27 = 39
  9. 9.I think of a number, multiply it by 9 and then take away 10. The answer is 143. What is my number?
  10. 10.I think of a number, multiply it by 2 and then add 31. The answer is 77. What is my number?
  11. 11.Karan has 25 coins, all ₹5 and ₹2 coins, worth ₹59 in all. How many ₹5 coins are there?
  12. 12.4 × ? − 19 = 69
  13. 13.A pen costs ₹13 more than a pencil. 4 pens and 2 pencils cost ₹76 in all. What does one pencil cost (in ₹)?
  14. 14.Solve for x: 4(x + 3) = 3x + 19. What is x?
  15. 15.Solve for x: 9(x + 1) = 3x + 129. What is x?
  16. 16.A pen costs ₹13 more than a pencil. 6 pens and 4 pencils cost ₹268 in all. What does one pencil cost (in ₹)?
  17. 17.Solve for x: 5(x + 5) = x + 89. What is x?
  18. 18.Kabir has 22 coins, all ₹5 and ₹2 coins, worth ₹80 in all. How many ₹5 coins are there?
  19. 19.I think of a number, multiply it by 5 and then take away 26. The answer is 119. What is my number?
  20. 20.I think of a number, multiply it by 3 and then add 32. The answer is 59. What is my number?
  21. 21.Solve for x: 5(x + 2) = 4x + 12. What is x?
  22. 22.The length of a rectangle is 6 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  23. 23.I think of a number, multiply it by 6 and then add 4. The answer is 112. What is my number?
  24. 24.Solve for x: 8(x + 1) = 7x + 9. What is x?
  25. 25.Solve for x: 7(x + 2) = x + 20. What is x?
  26. 26.11 × ? − 11 = 242
  27. 27.Solve for x: 4(x + 9) = 2x + 60. What is x?
  28. 28.4 × ? − 9 = 55
  29. 29.I think of a number, multiply it by 2 and then add 28. The answer is 60. What is my number?
  30. 30.Solve for x: 6(x + 9) = 2x + 78. What is x?
  31. 31.A pen costs ₹8 more than a pencil. 2 pens and 7 pencils cost ₹187 in all. What does one pencil cost (in ₹)?
  32. 32.10 × ? + 13 = 203
  33. 33.A pen costs ₹11 more than a pencil. 2 pens and 2 pencils cost ₹74 in all. What does one pencil cost (in ₹)?
  34. 34.I think of a number, multiply it by 7 and then add 27. The answer is 69. What is my number?
  35. 35.Solve for x: 3(x + 9) = 2x + 33. What is x?
  36. 36.I think of a number, multiply it by 7 and then take away 10. The answer is 46. What is my number?
  37. 37.5 × ? + 10 = 35
  38. 38.I think of a number, multiply it by 3 and then take away 7. The answer is 56. What is my number?
  39. 39.12 × ? + 11 = 95
  40. 40.Zoya has 16 coins, all ₹5 and ₹2 coins, worth ₹38 in all. How many ₹5 coins are there?

Answer key

  1. 11
  2. 14
  3. 2
  4. 25
  5. 4
  6. 17
  7. 15
  8. 3
  9. 17
  10. 23
  11. 3
  12. 22
  13. 4
  14. 7
  15. 20
  16. 19
  17. 16
  18. 12
  19. 29
  20. 9
  21. 2
  22. 8
  23. 18
  24. 1
  25. 1
  26. 23
  27. 12
  28. 16
  29. 16
  30. 6
  31. 19
  32. 19
  33. 13
  34. 6
  35. 6
  36. 8
  37. 5
  38. 21
  39. 7
  40. 2

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